Question

若三个数a,b,c满足ab/a+b=1/3,bc/b+c=1/4,ca/c+a=1/5,求这三个书?

Answer 1

由已知可得,(a+b)/(ab)=3,(b+c)/(bc)=4,(a+c)/(ac)=5.

即 1/a+1/b=3,1/b+1/c=4,1/a+1/c=5.

解得1/a=2,1/b=1,1/c=3.

a=1/2,b=1,c=1/3